Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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wn on the coordinate grid. which statements are true about triangle xyz…
The three correct statements are: - \( XYZ \) is a scalene triangle. - \( XY \) measures \( \sqrt{26} \) units. - \( XYZ \) is a right triangle. (Note: The exact answer depends on…
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select all the trapezoids.
- Top-left red quadrilateral - Top-right blue quadrilateral - Bottom-left orange quadrilateral - Bottom-right green quadrilateral
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triangle xyz is shown on the coordinate grid. which statements are true…
To solve this, we first find the lengths of the sides of triangle \( XYZ \) using the distance formula \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \). ### Step 1: Find length of \…
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triangle xyz is shown on the coordinate grid. which statements are true…
To solve this, we first find the lengths of the sides of triangle \( XYZ \) using the distance formula \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), where \( (x_1, y_1) \) and \…
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algebraic and geometric concepts what is the perimeter of quadrilateral…
$18 + \sqrt{50}$ units (the first option)
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2. a cube has a volume of (2^3) cubic inches. select all statements tha…
A. The volume of the cube is 8 cubic inches, D. The edge length of the cube is 2 inches
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how many radians is 360°? \\(\frac{2pi}{2}\\) radians \\(pi\\) radians …
2π radians
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how many radians is 150°? give the exact answer in simplest form. radia…
$\frac{5\pi}{6}$
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bor 2: finding slope determine the slope of each line given the followi…
Left line slope: $-1$ Right line slope: $1$
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how many radians is 90°? \\(\\frac{\\pi}{4}\\) radians \\(\\frac{\\pi}{…
$\frac{\pi}{2}$ radians
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mixed practice find the value of each variable. 10. x = ______ y = ____…
$x = 14\sqrt{2}$, $y = 14\sqrt{2}$ --- ### Problem 11
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7. mr. yung orders 3 pizzas. he cuts the pizzas into the number of equa…
7. - Mushroom pizza: 1 straight line through the center creating 2 equal halves. - Pepperoni pizza: 4 lines through the center creating 8 equal slices. - Cheese pizza: 2 perpendic…
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c. determine the values for x so that the triangles are similar.
# Explanation: ## Step1: Identify similar triangles The first triangle (EDG) has legs 6 and 8, hypotenuse 10. The second (DFG? Wait, second is DFG? No, second is DFG? Wait, second…
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26. find ag
\( \boxed{\dfrac{9}{2}} \) (or \( 4.5 \))
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main ideas/questions notes 45°-45°-90° special right δ - leg = ( x ) - …
### 45°-45°-90° Problems 1. $x=8$, $y=8\sqrt{2}$ 2. $x=25$, $y=25$ 3. $x=\frac{19\sqrt{2}}{2}$, $y=\frac{19\sqrt{2}}{2}$ ### 30°-60°-90° Problems 4. $x=5$, $y=10$ 5. $x=\frac{14\s…
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determine the missing length(s) in each triangle. write your answer as …
\(5\sqrt{2}\)
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4. angle ( r^circ = 2w^circ ). what is the measure of angle ( r )? opti…
286° (Option: 286°)
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determine the missing length(s) in each triangle. write your answer as …
\(2\sqrt{2}\)
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3. what is the sum of the exterior angles of this pentagon? options: 54…
360°
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24. find gh
\(\frac{70}{3}\) (or approximately \(23.33\))
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2. in this polygon, which angle is an exterior angle? options: a°, c°, …
d°
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1. in this square, all the angles are equal. what is the measure of ang…
$90^\circ$
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solve for the variable or segment. 23. 24. find gh
$x = \frac{27}{4}$ (or $6.75$) ### Problem 24:
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4. what is the measure of angle x°? options: 60°, 30°, 90°, 180°
B. $30^\circ$
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3. what is the sum of the interior angles of this pentagon? 540° 360° 9…
A. $540^\circ$
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which is an equation for the parabola that has vertex (6,-3) and passes…
A. \(x = - 4y^{2}-24y - 30\)
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1. in this polygon, which angle is an interior angle? options: b°, c°, …
C. $C^\circ$
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tue jan 27 hw, due wednesday jan 28 project check in: check each item t…
To solve the translation problems, we first identify the coordinates of the pre - image vertices and then apply the translation rule to find the coordinates of the image vertices.…
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10. the ratio of the sides of a quadrilateral are 3:4:7:10. if the peri…
The lengths of the sides are \(8.25\) feet, \(11\) feet, \(19.25\) feet, and \(27.5\) feet.
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10 the diagram shows one face of a wall. this face is in the shape of a…
6
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name: mon hw jan 26, due tuesday jan 27 project check in: check each it…
To solve the reflection problems (over the \( x \)-axis and \( y \)-axis), we use the following rules: ### For Reflection over the \( x \)-axis (Problem 2): The rule for reflectin…
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9. julia stands 28 feet from a flagpole and casts a 7 - foot shadow. if…
The flagpole is 25 feet tall.
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1. ______ \\(\\overleftrightarrow{ab}\\)\ 2. ______ \\(\\overrightarrow…
1. E. Ray AB 2. H. Line AB 3. C. Line segment AB 4. M. Arc AB 5. D. Distance of AB 6. B. Circle A 7. G. Angle A 8. F. Congruent to 9. A. Not equal to 10. L. Perpendicular lines 11…
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match with choices at right. choose the best answer. cross out the lett…
H. Line AB ### 2.
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match with choices at right. choose the best answer. cross out the lett…
1. E. Ray AB 2. H. Line AB 3. C. Line segment AB 4. M. Arc AB 5. D. Distance of AB 6. B. Circle A 7. G. Angle A 8. F. Congruent to 9. A. Not equal to 10. L. Perpendicular lines 11…
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find ( mangle krl ). ( mangle krl = square^circ )
\( 34 \)
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question 10 of 10 name the types of angles shown. check all that apply.…
D. right angle
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find ( mangle tqw ).( mangle tqw = square^circ )
\(46\)
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt
\(\angle RWS\)
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name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
\( m\angle2 = 76^\circ \) \( m\angle3 = 104^\circ \) \( m\angle4 = 76^\circ \)
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the figure shows two intersecting lines. write an equation to show how …
\( m\angle1 + m\angle2 = 180^\circ \)
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14. find the volume of the cube below.
35.937 cubic inches
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find the volume if the edge lengths are 6 ft, a ft, 10 ft and \\(\\frac…
$64$ cubic feet
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13. what is the missing height of the prism below if the volume is 455 …
8.426 cubic feet (for the second question), 8.42 ft (for question 13, rounded to two decimal places)
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12. which of the following formulas does not represent finding the heig…
C. $200 = \frac{(4)(5)}{h}$
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solve the problems below. a. find the surface area of the rectangular p…
$530$ square feet
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8. what is the total surface area of the figure below? a. 273 cm² b. 29…
A. \( 273 \, \text{cm}^2 \)
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$$(x,y) \to (2 - x, y - 5)$$ is an example of a transformation called a…
1. Output for (4,6): $(-2, 1)$ 2. Output for (7,2): $(-5, -3)$ 3. No
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the image shows a circle with center (4,6) and radius 10 units. select …
A. $(-4,12)$, B. $(-6,6)$, E. $(4,16)$
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find the value of x in the parallelogram. the value of x is \\(\\square…
\(107\)
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find the total surface area and volume of the figure.
# Explanation: ## Step1: Analyze the shape components The figure seems to be a combination of a triangular prism and two rectangles (or squares) on top. Wait, maybe it's a net or …
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match each equation to its description. a: circle centered at (1,0) wit…
A: circle centered at (1, 0) with a radius of 5 → 3: $(x-1)^2 + y^2 = 25$ B: circle centered at (1, -6) with a radius of 5 → 1: $(x-1)^2 + (y+6)^2 = 25$ C: circle centered at (1, …
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write an equation of a circle that is centered at (4, -7) with a radius…
B. $(x - 4)^2 + (y + 7)^2 = 36$
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quadrilateral bcde is similar to quadrilateral fghi. find the measure o…
36.6
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find the value of each variable. y = z =
y = 115 z = 69
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find m∠c in the quadrilateral. this figure is not drawn to scale. m∠c =…
\(59\)
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find the volume of this triangular prism. be sure to include the correc…
$360$ cubic meters ($360 \, \text{m}^3$)
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6. in the diagram, ghjk ~ lmnp. find the area of lmnp. area of ghjk = 8…
The area of \( LMNP \) is \( 756 \, m^2 \).
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what is the slope of the line that passes through the points (-4, 2) an…
2
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the pentagons ( abcde ) and ( jklmn ) are similar. find the length ( x …
$2.7$
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the quadrilaterals (abcd) and (pqrs) are similar. find the length (x) o…
$11.2$
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use the figure to complete each part. (a) name the sides of $\\angle nm…
(a) $\overrightarrow{MN}$ and $\overrightarrow{MQ}$ (b) $\angle PMQ$ and $\angle M$ (c) $M$
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26. modeling real life a dentist’s office and parking lot are on a rect…
(Part a): $\boldsymbol{x - 5}$ ## Part b ## Step1: Relate office length to $x$ The dentist's office length is $x$ m, set equal to 20. $$x = 20$$ ## Step2: Calculate width value Su…
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a. the shape of the arches b. the triangles on the middle columns c. th…
c. the details of the sculptures and the rose stained glass window
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listening & speaking the time 1a 2.20 listen at the clocks. listen and …
1. It's one o'clock. 2. It's two oh five. 3. It's three ten. 4. It's four fifteen. 5. It's six twenty-five. 6. It's seven thirty. 7. It's nine forty. 8. It's twelve fifty-five. 1.…
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read the sentences below, filling in the blanks with items from this li…
1. A three-dimensional solid with a polygonal base and triangular faces is called a **pyramid** 2. The point where the triangular faces of a pyramid meet is called the **apex** 3.…
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what is the shape of the base of a pyramid? a. sphere b. circle c. elli…
1. d. Polygon 2. d. Square pyramid 3. $V=\frac{1}{3} \times 36 \times 14 = 168\ \text{cm}^3$, so c. $168\text{cm}^3$ 4. c. Apex
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what is the formula used to calculate the volume of a pyramid? a. $v = …
1. d. $V = \frac{1}{3} \times B \times h$ 2. b. Volume is doubled 3. b. Base area 4. a. 12 m 5. d. 6 m 6. c. 90 degrees
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question 4 of 10 which figure shows an example of symmetry? a. b. c. d.
C. [The figure with the symmetric diamond-like shape across the dashed line]
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3. the columbian exchange (which includes the triangle trade) was an ex…
C. New food in the Old World (Europe)
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question 1 of 10 which of the following is most likely the next step in…
C. $\boldsymbol{\triangle}$
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stefan knows that a lighthouse that is 24 feet tall casts a shadow that…
16
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a monument is 24 meters tall. close by, there is an oak tree that is 16…
30
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a antenna is 32 meters tall and its shadow is 60 meters long. nearby, a…
16
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find v. write your answer as a whole number or a decimal. do not round.…
\( v = 4 \) feet
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find u. write your answer as a whole number or a decimal. do not round.…
\( 1.6 \)
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lesson 9.3 practice for use with pages 464-469 name: deasia mcdonald fi…
1. $c=26$ 2. $c=25$ 3. $c=2\sqrt{10}$ 4. $a=3\sqrt{91}$ 5. $b=6\sqrt{5}$ 6. $a=\sqrt{101}$
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determine whether the triangle with the given side lengths is a right t…
4. $a = \sqrt{819} \approx 28.62$ 5. $b = 6\sqrt{5} \approx 13.42$ 3. $c = 25$ 6. $c = 2\sqrt{17} \approx 8.25$ 7. Right triangle 8. Not a right triangle 9. Right triangle 10. Not…
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find the unknown length. write your answer in simplest form. 2. 3. 4. 5…
2. $c=26$ 3. $c=25$ 4. $a=3\sqrt{91}$ 5. $b=6\sqrt{5}$ 6. $a=\sqrt{101}$
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rotate △pqr 270° counterclockwise around the origin.
The rotated triangle $\triangle P'Q'R'$ has vertices at $P'(1, - 3)$, $Q'(3, - 1)$, $R'(1, - 1)$ (assuming the original coordinates of $P=(3,1)$, $Q=(1,3)$, $R=(1,1)$). If the ori…
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determine whether the triangle with the given side lengths is a right t…
7. Yes, it is a right triangle. 8. No, it is not a right triangle. 9. Yes, it is a right triangle. 10. No, it is not a right triangle. 11. No, it is not a right triangle. 12. No, …
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14. $a = 40, c = 58$\ 15. $b = 56, c = 65$\ 17. $a = 13, b = 84$\ 18. $…
14. $b=42$ 15. $a=33$ 17. $c=85$ 18. $c=65$
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graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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bonus page - build-a-triangle aquarium draw your own triangles, then cl…
1. Triangle #1 Angle type (outline): Acute Side type (shade): Scalene 2. Triangle #2 Angle type (outline): Right Side type (shade): Isosceles 3. Triangle #3 Angle type (outline): …
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find d. (there is a right - angled triangle in the image, with one angl…
$10\sqrt{2}$ millimeters
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find a. write your answer in simplest radical form. inches
$\sqrt{3}$ inches
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6 practice 7 (from unit 4, lesson 6) right triangle ( abc ) is shown. s…
B, F, G
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5 practice 5 (from unit 4, lesson 12) technology required. here is figu…
\(118\)
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4 practice 4 (from unit 4, lesson 12) here is a diagram. find the area …
21.2
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practice 3 match the two - dimensional figure and axis of rotation with…
A: a cylinder $\longleftrightarrow$ 2: (Rectangle) B: a sphere $\longleftrightarrow$ 3: (Semicircle) C: a cone $\longleftrightarrow$ 1: (Right Triangle)
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prove: $\\triangle gkj \\cong \\triangle jhg$ 3. bridges in the diagram…
The two - column proof as shown above proves that \(\triangle AXB\cong\triangle CXB\) using the HL Congruence Theorem.
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example 1 1. camping in the diagram of the pup tent, the support pole i…
### For Problem 1: The two - column proof as shown above proves that $\triangle WXZ\cong\triangle YXZ$ by the SAS congruence criterion. ### For Problem 2: The two - column proof a…
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submit answers on google forms https://forms.gle/vjycyfa1tbvj1qte9 geom…
1) No 2) No 3) Yes 4) Yes 5) No 6) Yes 7) $5 < x < 19$ 8) $0 < x < 16$ 9) $3 < x < 21$ 10) $1 < x < 17$ 11) $2 < x < 18$ 12) $4 < x < 20$
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lines are drawn on a coordinate plane to form quadrilateral wxyz. which…
- Line WZ has the same slope as line XY. - Line ZW has the same y - intercept as line YZ. - Line XY has a lesser y - intercept than line XW.
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the graphs below show measurements from cubes with different side lengt…
- side length and perimeter of 1 face - area of 1 face and surface area
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shonda was curious if segments ( overline{wx} ) and ( overline{yz} ) we…
A. One more transformation — a rotation — would map $\overline{WX}$ onto $\overline{YZ}$. So the segments are congruent.
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amad was curious if triangles $\\triangle abc$ and $\\triangle edf$ wer…
C. There is no error. This is a correct conclusion.
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write the standard form of the equation of the circle with the given ch…
\((x + 2)^2 + (y + 9)^2 = 25\)
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12. -/1 points write the standard form of the equation of the circle wi…
\(x^2 + y^2 = 49\)
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write and solve a system of equations to solve each problem. explain wh…
The width of the rectangle is \( 5.5 \) cm and the length is \( 16.5 \) cm. The method used is substitution because we had one variable (length) expressed explicitly in terms of t…